Solution Found!
Answer: (a) A horizontal string tied at both ends is
Chapter 15, Problem 48E(choose chapter or problem)
Problem 48E
(a) A horizontal string tied at both ends is vibrating in its fundamental mode. The traveling waves have speed v, frequency f, amplitude A, and wavelength λ. Calculate the maximum transverse velocity and maximum transverse acceleration of points located at (i) x = λ/2, (ii) x = λ/4, and (iii) x = λ/8, from the left-hand end of the string. (b) At each of the points in part (a), what is the amplitude of the motion? (c) At each of the points in part (a), how much time does it take the string to go from its largest upward displacement to its largest downward displacement?
Questions & Answers
QUESTION:
Problem 48E
(a) A horizontal string tied at both ends is vibrating in its fundamental mode. The traveling waves have speed v, frequency f, amplitude A, and wavelength λ. Calculate the maximum transverse velocity and maximum transverse acceleration of points located at (i) x = λ/2, (ii) x = λ/4, and (iii) x = λ/8, from the left-hand end of the string. (b) At each of the points in part (a), what is the amplitude of the motion? (c) At each of the points in part (a), how much time does it take the string to go from its largest upward displacement to its largest downward displacement?
ANSWER:Solution 48E
Introduction
We have to calculate the maximum transverse velocity and amplitude of the standing produced in the string at each given point.
We also have to calculate the maximum possible displacement at each given point and the elapse time to go from maximum upward displacement to maximum downward displacement.